Least Common Multiple of 9156 and 9164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9156 and 9164 the smallest integer that is 20976396 that is divisible by both numbers.

Least Common Multiple (LCM) of 9156 and 9164 is 20976396.

LCM(9156,9164) = 20976396

LCM of 9156 and 9164

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9156 and 9164

LCM of 9156 and 9164 is 20976396

Least common multiple can be found by multiplying the highest exponent prime factors of 9156 and 9164. First we will calculate the prime factors of 9156 and 9164.

Prime Factorization of 9156


2 9156
2 4578
3 2289
7 763
109 109
1

Prime factors of 9156 are 2, 3, 7,109. Prime factorization of 9156 in exponential form is:

9156 = 22×31×71×1091

Prime Factorization of 9164


2 9164
2 4582
29 2291
79 79
1

Prime factors of 9164 are 2, 29,79. Prime factorization of 9164 in exponential form is:

9164 = 22×291×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9156 and 9164.

LCM(9156,9164) = 22×31×71×291×791×1091
LCM(9156,9164) = 20976396

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164

Least Common Multiple of 9156 and 9164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9156 and 9164, than apply into the LCM equation.

GCF(9156,9164) = 4
LCM(9156,9164) = ( 9156 × 9164) / 4
LCM(9156,9164) = 83905584 / 4
LCM(9156,9164) = 20976396

Properties of LCM 9156 and 9164

(i) The LCM of 9164 and 9156 is associative

LCM of 9156 and 9164 = LCM of 9164 and 9156

Related Least Common Multiples of 9156

Related Least Common Multiples of 9164

Frequently Asked Questions on LCM of 9156 and 9164

1. What is the LCM of 9156 and 9164?

Answer: LCM of 9156 and 9164 is 20976396.

2. What are the Factors of 9156?

Answer: Factors of 9156 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578, 9156. There are 24 integers that are factors of 9156. The greatest factor of 9156 is 9156.

3. What are the Factors of 9164?

Answer: Factors of 9164 are 1, 2, 4, 29, 58, 79, 116, 158, 316, 2291, 4582, 9164. There are 12 integers that are factors of 9164. The greatest factor of 9164 is 9164.

4. How to Find the LCM of 9156 and 9164?

Answer:

Least Common Multiple of 9156 and 9164 = 20976396

Step 1: Find the prime factorization of 9156

9156 = 2 x 2 x 3 x 7 x 109

Step 2: Find the prime factorization of 9164

9164 = 2 x 2 x 29 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20976396 = 2 x 2 x 3 x 7 x 29 x 79 x 109

Step 4: Therefore, the least common multiple of 9156 and 9164 is 20976396.